ASYMPTOTIC BEHAVIOR OF CENTRAL ORDER STATISTICS UNDER MONOTONE NORMALIZATION

E. I. PANCHEVA; A. GACOVSKA

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ASYMPTOTIC BEHAVIOR OF CENTRAL ORDER STATISTICS UNDER MONOTONE NORMALIZATION

机译：单调归一化的中心阶统计量的渐近行为

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Smirnov [Trudy Mat. Inst. Steklov., 25 (1949), pp. 3-60 (in Russian); Amer. Math. Transl., 67 (1952) (in English)] derived four limit types of distributions for linearly normalized central order statistics under the weak convergence. In this paper we investigate the possible limit distributions of the kth upper order statistics with central rank using monotone regular norming sequences and obtain 13 possible types.

机译：Smirnov [Trudy Mat。研究所Steklov。，25（1949），第3-60页（俄语）;阿米尔。数学。 Transl。，67（1952）（英语）]推导了弱收敛下线性归一化中心阶统计量的四种极限分布类型。在本文中，我们使用单调正则范数序列研究了具有中心秩的第k个高阶统计量的可能极限分布，并获得了13种可能的类型。

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《Theory of probability and its applications》 |2013年第1aep期|共14页
作者
E. I. PANCHEVA; A. GACOVSKA;
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正文语种 eng
中图分类概率论与数理统计;
关键词
kth upper order statistic; central rank; monotone normalization; regular norming sequence;

机译：kth高阶统计;中心秩;单调归一化;规则范数序列;

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1. ASYMPTOTIC BEHAVIOR OF CENTRAL ORDER STATISTICS UNDER MONOTONE NORMALIZATION [J] . E. I. PANCHEVA, A. GACOVSKA Theory of probability and its applications . 2013,第1aEP期

机译：单调归一化的中心阶统计量的渐近行为
2. Asymptotic behavior of proportions of observations falling to random regions determined by central order statistics [J] . Statistics & Probability Letters . 2020,第期

机译：由中央秩序统计确定的随机区域的观测比例的渐近行为
3. Asymptotic behavior of central order statistics from stationary processes [J] . Dembińska A. Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 2014,第1期

机译：平稳过程的中心阶统计量的渐近行为
4. Asymptotic Behavior of Normalized Linear Complexity of Multi-sequences [C] . International Conference on Sequences and Their Applications . 2005

机译：多序列归一化线性复杂性的渐近行为
5. Nonparametric estimation of a k-monotone density: A new asymptotic distribution theory. [D] . Balabdaoui, Fadoua. 2004

机译：k单调密度的非参数估计：一种新的渐近分布理论。
6. A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces [O] . Shih-sen Chang, Jen-Chih Yao, Ching-Feng Wen, -1

机译：Hadamard空间中单调包含和渐近非扩张映射的改进的粘度隐式近点算法
7. Monotone Bartlett-type correction for some test statistics under nonnormality (Asymptotic Statistical Theory) [O] . Aoshima Makoto, Enoki Hiroyuki, Ito Osamu 2003

机译：非正态下某些检验统计量的单调Bartlett型校正（渐近统计理论）
8. The Asymptotic Behavior of Monotone Percentile Regression Estimates [R] . Wright, F. T. 1981

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ASYMPTOTIC BEHAVIOR OF CENTRAL ORDER STATISTICS UNDER MONOTONE NORMALIZATION

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